The Momentum-First Framework as a Direct Consequence of the BFSS Matrix Model

The Momentum-First (M-First) framework, introduced via postulates, has been shown to resolve several long-standing physical anomalies. This paper shows, in the large-$N$ BFSS limit, that the M-First relations follow from supersymmetry in M-Theory. We present a derivation of the M-First rules from the single foundational principle of supercharge conservation in the Banks–Fischler–Shenker–Susskind (BFSS) matrix model. First, we prove that conservation of the 16 supercharges in any scattering process rigorously implies the M-First kinematic rule of Absolute Directional Momentum Conservation; second, we show that preserving this same supersymmetry in the low-energy effective theory of interacting D0-branes mandates that the emergent gravitational potential, $\Phi_g$, enters the energy–momentum relation quadratically, i.e.\ $\hat{M}_g^2 = \hat{M}^2 + \Phi_g$. Hence M-First is elevated from a set of postulates to a framework derived from the fundamental principles of M-Theory.